WorksheetsAlgebra MOY '24-'25
Total questions: 63
Worksheet time: 32mins
Name
Class
Date
1.
Last Name
4 lines
2.
First Name
4 lines
3.
MA.912.A.2.3, MA.912.A.2.13
Anton joined a golf club two years ago. He pays an annual membership fee of $895 and a greens fee of $30
each time he plays a game of golf. The function below can be used to calculate the total yearly golfing fee, f (g),
in dollars.
f (g) = 895 + 30g,
where g represents the number of times he played golf during the year.
Last year he paid $2,065 as a total golfing fee. For how many games did he pay a greens fee?
a)
A. $28
b)
B. $34
c)
C. $39
d)
D. $42
4.
MA.912.A.2.3
For the function f(x) = 3x+ 2, find x such that
f(x) = 14.
a)
3
b)
4
c)
5
d)
6
5.
MA.912.A.2.4
Find the domain of the function represented in the graph.
a)
The domain consists of input values from -5 to 3.
b)
The domain consists of input values from -4 to 6.
c)
The domain consists of input values from -5 to 6.
d)
The domain consists of input values from -4 to 3.
6.
MA.912.A.2.13
Gregory teaches martial arts. He charges a one-time processing fee of $5.00 and the cost of the classes is shown below. Let x represent the number of classes and y represent the cost of classes. Based on this information, what will it cost to take 10 classes? Your third question?
a)
$123.00
b)
$125.00
c)
$128.00
d)
$130.00
7.
MA.912.A.3.1
Solve the equation. −4(x + 10) − 6 = −3(x − 2)
a)
57
b)
-57
c)
52
d)
-52
8.
MA.912.A.3.1
A bookstore sold 18,000 paperbacks one month. This was 10% less than the number of paperbacks the store sold the previous month. The following equation represents this situation, where x represents the number of paperbacks sold the previous month. x - 0.1x = 18,000 How many paperbacks did the store sell in both the months combined?
a)
20,000
b)
35,900
c)
38,000
d)
180,000
9.
MA.912.A.3.1
Shades R Us charges $20 per day to rent a lounge chair and $15 per day to rent an umbrella. Dan and Lisa paid a total of $245 to rent a lounge chair and an umbrella each during their vacation. Lisa rented the chair and umbrella for 1 day less than Dan. The following equation represents this situation, where x represents the number of days Dan rented the lounge chair and umbrella.
20x + 15x + 20(x - 1) + 15(x - 1) = 245
What is the total amount Dan paid to rent the lounge chair and umbrella during his vacation?
a)
$80
b)
$105
c)
$140
d)
$17
10.
MA.912.A.3.2
Which property would be used first to simplify the expression 2(x+5y+1) - 4(3x-y- 2)?
a)
Distributive
b)
Identity
c)
Inverse
d)
Commutative
11.
MA.912.A.3.2
Your daily workout plan involves a total of 40 minutes of running and swimming. You burn 20 calories per minute running and 10 calories per minute swimming. Let r be the number of minutes you run. How many calories will you burn in your 40 minute workout if you run for 20 minutes?
a)
60
b)
70
c)
600
d)
700
12.
MA.912.A.3.3
Which mathematical sentence represents the solution for d in the equation 6e = ef + 3d?
a)
A
b)
B
c)
C
d)
D
13.
MA.912.A.3.3
The formula for the perimeter P of a rectangle with length l and width w is
P = 2l + 2w
Which of the following is a formula for the length of a rectangle in terms of the perimeter and width?
a)
A
b)
B
c)
C
d)
D
14.
MA.912.A.3.5
Trini’s car breaks down on a highway. Trini estimates that she is 20 to 30 miles from the nearest car repair shop. She calls a towing company that charges a fee of $80 plus $3 per mile to tow a car. If Trini uses this towing company, which is the best estimate for the amount of money, m, she will pay for the company to tow her car?
a)
103 ≤ m ≤ 113
b)
140 ≤ m ≤ 150
c)
140 ≤ m ≤ 170
d)
160 ≤ m ≤ 170
15.
MA.912.A.3.4
Which of the following is the solution for 4x – 4 > 12?
a)
x ≥ 4
b)
x ≤ 4
c)
x > 4
d)
x < 4
16.
MA.912.A.3.4
Which graph represents the solution set for the compound inequality −3 ≤ −2x+1 < 11?
a)
A
b)
B
c)
C
d)
D
17.
MA.912.A.3.5
Mia is a sales associate at an art gallery. Each week she earns $300 plus a 4% commission of all her sales. This week she earned $327. How much were Mia’s art sales this week?
a)
$727
b)
$675
c)
$631
d)
1,200
e)
18.
MA.912.A.3.7
Which of the following represents the linear equation
3x = 12 – 2y in standard form?
a)
A
b)
B
c)
C. 3x – 2y = 12
d)
D. 3x + 2y = 12
19.
MA.912.A.3.7
Which of the following represents the linear equation
3x = 12 – 2y in standard form?
a)
A
b)
B
c)
C. 3x – 2y = 12
d)
D. 3x + 2y = 12
20.
MA.912.A.3.7
Which of the following represents the linear equation
2x = y + 3
in slope-intercept form?
a)
2x + y = 3
b)
2x – y = 3
c)
y = 2x – 3
d)
y = 2x + 3
21.
MA.912.A.3.8
The travel path of a ferry heading from a mainland harbor toward an island jetty is graphed on a coordinate grid. The graph is a straight line with a slope of – ¼. If the mainland harbor is located at point (2, 1), which graph represents the travel path of the ferry?
a)
A
b)
B
c)
C
d)
D
22.
MA.912.A.3.11, MA.912.A.2.13
A company builds computers. It costs $6,700 to build 10 computers and $12,200 to build 20 computers.
Which equation models the cost, C(x), as a linear function of the number of computers built, x?
a)
C(x) = 550x -1200
b)
C(x) = 550x + 1200
c)
C(x) = 1200x - 550
d)
C(x) = 1200x + 550
23.
MA.912.A.3.8
For a science experiment Corrine is adding hydrochloric acid to distilled water. The relationship between the amount of hydrochloric acid, x, and the amount of distilled water, y, is graphed below.
a)
2y - 3x < 0
b)
3y - 2x < 0
c)
2y - 3x > 0
d)
3y - 2x > 0
24.
MA.912.A.3.9
What is the y-coordinate of the y-intercept of the line that passes through the points (–4, –4) and (4, 8)?
a)
-2
b)
2
c)
1.5
d)
-1.5
25.
MA.912.A.3.10
Which equation represents the line passing through the points (3, 2) and (–9, 6)?
a)
x – 3y = 9
b)
x + 3y = 9
c)
3x – y = -9
d)
3x + y = 9
26.
MA.912.A.3.10
Which equation represents the line passing through the point (4, –16) and is perpendicular to the line:
a)
A
b)
B
c)
C
d)
D
27.
MA.912.A.3.11
The graph below shows the revenue earned by a company in its first 4 quarters of operation. A line of best fit has been drawn on the graph.
a)
$45,000
b)
$50,000
c)
$55,000
d)
$60,000
28.
MA.912.A.3.12
Which equation represents the graph of the line shown below?
a)
A
b)
B
c)
C
d)
D
29.
MA.912.A.3.13
Determine the number of solutions based on the graph for the following system of equations.
2x + 5y = 7
10y = −4x + 14
a)
Exactly one solution
b)
No solutions
c)
Infinitely many solutions
d)
Exactly two solutions
e)
30.
MA.912.A.3.13
Which point lies in the solution set for the following system of inequalities?
x − y > 3
x + 2y < 6
a)
(7, 1)
b)
(3, 4)
c)
(-2, 2)
d)
(4, -2)
31.
M.A.912.A.3.14
Which system of equations is represented by the following graph?
a)
A
b)
B
c)
C
d)
D
32.
M.A.912.A.3.14
Determine the value of y for the system of equations.
x − 3y = 4
2x + y = 8
a)
7
b)
4
c)
2
d)
0
33.
MA.912.A.3.14, MA.912.A.3.15
An auditorium earned $25,000 in sold-out concert ticket sales. Front section tickets cost $75 per seat and
back section tickets cost $50 per seat. The number of front section seats is twice the number of back section
seats. How many seats are in the front section?
a)
125
b)
175
c)
250
d)
275
34.
MA.912.A.3.14, MA.912.A.3.15
Sam has a total of 58 DVD's and CD's. If the number of CD's is two more than three times the number of
DVD's, how many CD's does he have?
a)
A. 42
b)
B. 14
c)
C. 44
d)
D. 12
35.
MA.912.A.4.1
a)
A
b)
B
c)
C
d)
D
36.
MA.912.A.4.1; MA.912.A.4.2:
Easton simplified the following expression:
a)
1
b)
11
c)
23
d)
30
37.
MA.912.A.4.1
a)
A
b)
B
c)
C
d)
D
38.
MA.912.A.4.2
A concert hall is in the shape of a rectangle. Its floor has a length of (x + 6) meters and a width of (2x - 3)
meters. The expression below represents the area of the floor of the hall in square meters.
(x + 6)(2x - 3)
Which of the following simplified expressions represents the area of the floor of the concert hall, in square
meters?
a)
A
b)
B
c)
C
d)
D
39.
MA.912.A.4.2
In a kitchen there are four containers that can hold different quantities of water, as shown in the figure
below:
a)
A. 3
b)
B. x + 3
c)
C. 4x + 3
d)
D.
40.
MA.912.A.4.2
A greenhouse that specializes in growing bell peppers is divided into sections. The number of plants in each
section depends on the number of sprinklers in that section.
a)
A
b)
B
c)
C
d)
D
41.
MA.912.A.4.3
a)
A. (4a – 7) (4a – 7)
b)
B. (4a + 7) (4a – 7)
c)
C. (7 – 4a) (7 – 4a)
d)
D. (7 + 4a) (7 – 4a)
42.
MA.912.A.4.3
a)
A
b)
B
c)
C
d)
D
43.
MA.912.A.4.4
a)
A
b)
B
c)
C
d)
D
44.
MA.912.A.4.4
a)
A
b)
B
c)
C
d)
D
45.
MA.912.A.4.3, MA.912.A.5.1
a)
A
b)
B
c)
C
d)
D
46.
MA.912.A.4.3, MA.912.A.5.1
a)
A
b)
B
c)
C
d)
D
47.
MA.912.A.5.4
a)
3
b)
8
c)
10
d)
11
48.
MA.912.A.5.4
a)
A. x = 1
b)
B. x = 3
c)
C. no real numbers
d)
D. all real numbers
49.
MA.912.A.6.1, MA.912.A.6.2
a)
A
b)
B
c)
C
d)
D
50.
MA.912.A.6.2
a)
5/4
b)
5/16
c)
15/48x
d)
15/48
51.
MA.912.A.6.2
a)
A
b)
B
c)
C
d)
D
52.
MA.912.A.7.1
a)
-1
b)
1
c)
2
d)
3
53.
MA.912.A.7.2
a)
4
b)
1
c)
3
d)
5
54.
MA.912.A.1.8, MA.912.A.7.2
a)
A. x = 6, x = 3
b)
B. x = 6, x = -3
c)
C. x = 0, x = -3
d)
D. x = 0, x = 3
55.
MA.912.A.7.8
a)
1
b)
7
c)
9
d)
24.01
56.
MA.912.A.7.8
a)
4
b)
6
c)
9
d)
12
57.
MA.912.A.7.8
a)
50
b)
40
c)
5
d)
2
58.
MA.912.D.7.1:
The set S represents even numbers from 2 to 30.
S = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30}
The set C represents multiples of 3 from 3 to 30.
C = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30}
How many elements are in the set S ∩ C?
a)
0
b)
5
c)
10
d)
15
59.
MA.912.D.7.1:
The zip code of a location consists of five digits chosen from the set Z shown below.
Z = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
The set L represents the digits in the zip code for Key Largo.
L = {3, 3, 0, 3, 7}
The set K represents the digits in the zip code for Killarney.
K = {3, 4, 7, 4, 0}
How many odd numbers are in the set ~(L ∪ K)?
a)
20
b)
10
c)
5
d)
3
60.
MA.912.D.7.2
In a school of 200 students, 80 students are in the band, 160 students are on sports teams, and 60 students
participate in both activities. How many students in the school are neither in band nor on a sports team?
a)
20
b)
60
c)
130
d)
180
61.
MA.912.D.7.2
A news agent conducted a survey of business magazine subscribers in a town and found that there was
circulation of only three business magazines. He made the Venn diagram below to show the number of
subscribers to each of the three magazines: Board Review, Strategy and Finance, and Investor Journal.
a)
A. 484
b)
B. 443
c)
C. 422
d)
D. 370
62.
MA.912.G.1.4
Let c be any constant number. Which of the following will ALWAYS be perpendicular to ?
a)
A
b)
B
c)
C
d)
D
63.
MA.912.G.1.4
What is the slope of a line that passes through the point (–1, 1) and is parallel to a line that passes through
(3, 6) and (1, –2)?
a)
1
b)
2
c)
3
d)
4
100 %
